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Finding the Third Proportional to 1,794.80 and 2,629.69

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Solution

The third proportional to 1,794.80 and 2,629.69 is: 3,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.80 : 2,629.69 = 2,629.69 : x
  2. Step 2: Convert to fraction form
    1,794.80/2,629.69 = 2,629.69/x
  3. Step 3: Cross multiply
    1,794.80x = 2,629.69 × 2,629.69
  4. Step 4: Simplify right side
    1,794.80x = 6,915,256.35
  5. Step 5: Solve for x
    x = 6,915,256.35/1,794.80
  6. Step 6: Final answer
    x = 3,852.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.